Results 61 to 70 of about 302,926 (303)

Bounds for the Zeros of Polynomials

Analysis in Theory and Applications
Summary: In this paper, we present certain results on bounds for the zeros of a polynomial. Our results yield some generalizations and refinements of the recently proved results due to Soleiman and Bidkham, Suhail, Rather and Thakur and other classical results also.
Mir, Abdullah, Ahmad, Abrar, Malik, Adil Hussain   +2 more
openaire   +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Spreadsheets: Laying a Foundation for Understanding Functions

Spreadsheets in Education, 2015
Linear, quadratic, and exponential functions, as well as polynomial functions, are the most basic mathematical expressions. Despite being among the most basic expressions in algebra, these functions are often used to approximate more complicated ...
Pejmon Sadri
doaj  

Inequalities for the Polar Derivative of a Polynomial

Journal of Inequalities and Applications, 2009
Let p(z) be a polynomial of degree n and for any real or complex number α, and let Dαp(z)=np(z)+(α−z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α.
M. Bidkham, M. Shakeri, M. Eshaghi Gordji   +2 more
doaj   +1 more source

The numerical radius and bounds for zeros of a polynomial [PDF]

, 2003
Let p(t) be a monic polynomial. We obtain two bounds for zeros of p(t) via the Perron root and the numerical radius of the companion matrix of the ...
Chien M., Yeh L., Alpin Y.
core  

Drop‐on‐Demand Printed Negative Dielectric Anisotropy Liquid Crystal Droplets for Adaptive Complex Beam Manipulation and Assessment

Advanced Functional Materials, EarlyView.
Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo, Xuke Qiu, Runchen Zhang, Qihao Han, Liangyu Deng, Yishun Lu, Zimo Zhao, Mengmeng Li, Waqas Kamal, Junseok Ma, Yongge Ma, Steve J. Elston, Alfonso A. Castrejón‐Pita, Stephen M. Morris, Chao He   +14 more
wiley   +1 more source

Polynomial automata: Zeroness and applications [PDF]

2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017
We introduce a generalisation of weighted automata over a field, called polynomial automata, and we analyse the complexity of the Zeroness Problem in this model, that is, whether a given automaton outputs zero on all words. While this problem is non-primitive recursive in general, we highlight a subclass of polynomial automata for which the Zeroness ...
Michael Benedikt, Timothy Duff, Aditya Sharad, James Worrell 0001   +3 more
openaire   +3 more sources

Zeros of smallest modulus of functions resembling exp(z)

International Journal of Mathematics and Mathematical Sciences, 1982
To determine (in various senses) the zeros of the Laplace transform of a signed mass distribution is of great importance for many problems in classical analysis and number theory. For example, if the mass consists of finitely many atoms, the transform is
Kenneth B. Stolarsky
doaj   +1 more source

Defect‐Mediated Inelastic Light Scattering by Infrared Phonons in Hexagonal Boron Nitride

Advanced Functional Materials, EarlyView.
Optically active defects in hexagonal boron nitride enable inelastic stimulated light scattering mediated by infrared‐active phonons, relaxing conventional Raman selection rules. Defect engineering enhances the Stokes‐conversion process and activates both TO‐ and LO‐phonon scattering channels.
Prabhdeep Singh, Bharti Garg, Maximilian Black, Masoud Taleb, Nahid Talebi   +4 more
wiley   +1 more source

Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films

Advanced Functional Materials, EarlyView.
We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra, Aiden Ross, Brynn Brower, Tobias Schwaigert, Ian Reed Philippi, Albert Suceava, Himirkanti Sarkar, Muhammed Aminul Haque Chowdhury, Suchismita Sarker, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +11 more
wiley   +1 more source